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Finding the Fourth Proportional to 286,773.70, 430,160.55 and 99,785.20

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Solution

The fourth proportional to 286,773.70, 430,160.55 and 99,785.20 is: 149,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,773.70 : 430,160.55 = 99,785.20 : x
  2. Step 2: Convert to fraction form
    286,773.70/430,160.55 = 99,785.20/x
  3. Step 3: Cross multiply
    286,773.70x = 430,160.55 × 99,785.20
  4. Step 4: Simplify right side
    286,773.70x = 42,923,656,513.86
  5. Step 5: Solve for x
    x = 42,923,656,513.86/286,773.70
  6. Step 6: Final answer
    x = 149,677.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.